81/70: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septimal ultramajor second | |||
| Name = | |||
| Color name = rg2, rugu 2nd | | Color name = rg2, rugu 2nd | ||
| Sound = Ji-81-70-csound-foscil-220hz.mp3 | | Sound = Ji-81-70-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''81/70''', the '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 [[cent]]s. It is sharp of a major second [[9/8]] by a septimal quartertone [[36/35]], sharp of a supermajor second [[8/7]] by a syntonic comma [[81/80]], and flat of a subminor third [[7/6]] by a sensamagic comma [[245/243]]. | |||
Notice it is also flat of the just minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[sensamagic dominant chord]] where it functions as a dissonance yet to be resolved up to the minor third. The [[Canou family|canou temperament]] targets this progression and uses it as one of the generators. | |||
It is | == Approximation == | ||
It is near-perfectly approximated by [[19edo]] (4\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament. | |||
== See also == | == See also == | ||
* [[140/81]] – its [[octave complement]] | * [[140/81]] – its [[octave complement]] | ||
* [[35/27]] – its [[fifth complement]] | * [[35/27]] – its [[fifth complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Supermajor second]] | [[Category:Supermajor second]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal intervals]] | ||
[[Category:Semifourth]] | |||
Latest revision as of 03:27, 28 April 2023
| Interval information |
[sound info]
81/70, the septimal ultramajor second is a 7-limit interseptimal ratio of about 253 cents. It is sharp of a major second 9/8 by a septimal quartertone 36/35, sharp of a supermajor second 8/7 by a syntonic comma 81/80, and flat of a subminor third 7/6 by a sensamagic comma 245/243.
Notice it is also flat of the just minor third 6/5 by a subminor second 28/27. For this fact it is useful in the sensamagic dominant chord where it functions as a dissonance yet to be resolved up to the minor third. The canou temperament targets this progression and uses it as one of the generators.
Approximation
It is near-perfectly approximated by 19edo (4\19), with an error of 0.05 cents, and hence equally well done by the enneadecal temperament.